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B. N. Mandal

Bio: B. N. Mandal is an academic researcher from Indian Statistical Institute. The author has contributed to research in topics: Integral equation & Reflection (physics). The author has an hindex of 22, co-authored 172 publications receiving 2131 citations. Previous affiliations of B. N. Mandal include Amity University & University of Calcutta.


Papers
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Journal ArticleDOI
TL;DR: In this paper, an order-level inventory model for deteriorating items with uniform rate of production and stock-dependent demand is developed, where shortages are allowed, and excess demand is backlogged.
Abstract: An order-level inventory model is developed for deteriorating items with uniform rate of production and stock-dependent demand. Shortages are allowed, and excess demand is backlogged. Results are illustrated with numerical examples.

306 citations

Journal ArticleDOI
TL;DR: In this article, an order level inventory system for deteriorating items has been developed with demand rate a ramp type function of time and the results obtained have been compared with the corresponding results in the absence of deterioration and finally a numerical example for deterministic demand situation has been studied along with its sensitivity.
Abstract: An order level inventory system for deteriorating items has been developed with demand rate a ramp type function of time. Deterministic and probabilistic demand situations are discussed. The results obtained have been compared with the corresponding results in the absence of deterioration and finally a numerical example for the deterministic demand situation has been studied along with its sensitivity.

139 citations

Journal ArticleDOI
TL;DR: This paper is concerned with obtaining approximate numerical solutions of some classes of integral equations by using Bernstein polynomials as basis and the convergence of the method is established rigorously for each class of integral equation considered here.
Abstract: This paper is concerned with obtaining approximate numerical solutions of some classes of integral equations by using Bernstein polynomials as basis. The integral equations considered are Fredholm integral equations of second kind, a simple hypersingular integral equation and a hypersingular integral equation of second kind. The method is explained with illustrative examples. Also, the convergence of the method is established rigorously for each class of integral equations considered here.

119 citations

Journal ArticleDOI
TL;DR: In this article, the problem of oblique water wave diffraction by two equal thin, parallel, fixed vertical barriers with gaps present in uniform finite-depth water is investigated, and three types of barrier configurations are considered.
Abstract: The problem of oblique water wave diffraction by two equal thin, parallel, fixed vertical barriers with gaps present in uniform finite-depth water is investigated here. Three types of barrier configurations are considered. A one-term Galerkin approximation is used to evaluate upper and lower bounds for reflection and transmission coefficients for each configuration. These bounds are seen to be very close numerically for all wave numbers and as such their averages produce good numerical estimates for these coefficients. Only the bounds for the reflection coefficient are numerically computed. These are also numerically compared with the results obtained by using multiterm Galerkin approximations involving Chebyshev polynomials for a wide range of parameters. Numerical results for the reflection coefficients for the three barrier configurations are presented graphically. It is seen that total reflection occurs only for the surface-piercing barriers while total transmission occurs for all the three configurations considered here. It is also observed that the introduction of an equal second barrier to a submerged barrier increases the reflection coefficient considerably in some frequency bands and as such submerged double barrier configurations are preferable to a submerged single barrier for the purpose of reflecting more wave energy into the open sea.

57 citations

Book
21 Jan 2000
TL;DR: In this article, the basic equations of the wave-scattering problem are discussed. But they do not specify a solution to the boundary value problem, which is a special case of boundary value problems.
Abstract: Contents: Introduction The Basic Equations Some Important Mathematical Concepts and Results Explicit Solutions to Some Barrier Problems Vertical Wall with a Narrow Gap Approximate Solution Oblique Wave Scattering by Barriers Nearly Vertical Barriers and Special Boundary Value Problems Thin Vertical Barriers in Finite Depth Water Thick Rectangular Barriers in Finite Depth Water Interface Wave Scattering by Barrier Incoming Water Waves Against a Vertical Cliff Second-Order Wave Scattering Appendices Bibliography Index.

56 citations


Cited by
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01 Jan 2016
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Abstract: Thank you very much for downloading table of integrals series and products. Maybe you have knowledge that, people have look hundreds times for their chosen books like this table of integrals series and products, but end up in harmful downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they cope with some harmful virus inside their laptop. table of integrals series and products is available in our book collection an online access to it is set as public so you can get it instantly. Our book servers saves in multiple locations, allowing you to get the most less latency time to download any of our books like this one. Merely said, the table of integrals series and products is universally compatible with any devices to read.

4,085 citations

Journal ArticleDOI
TL;DR: The motivations, extensions and generalizations of various models in each sub-class have been discussed in brief to bring out pertinent information regarding model developments in the last decade.
Abstract: This paper presents a review of the advances of deteriorating inventory literature since the early 1990s. The models available in the relevant literature have been suitably classified by the shelf-life characteristic of the inventoried goods. They have further been sub-classified on the basis of demand variations and various other conditions or constraints. The motivations, extensions and generalizations of various models in each sub-class have been discussed in brief to bring out pertinent information regarding model developments in the last decade.

1,247 citations

Journal ArticleDOI
TL;DR: A complete and up-to-date survey of published inventory literature for the deteriorating (decaying) inventory models and a classification scheme is presented along with suggestions for future research.
Abstract: This paper presents a complete and up-to-date survey of published inventory literature for the deteriorating (decaying) inventory models. More specifically, those papers are addressed that consider the effect of deterioration as a function of the on-hand level of inventory. The basic features, extensions and generalization of various models are discussed. A classification scheme is presented along with suggestions for future research.

812 citations